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True Coincidence Summing Correction in Gamma Spectroscopy

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COI<br />

g<br />

N<br />

p,<br />

g<br />

= (3.13)<br />

N'<br />

p,<br />

g<br />

And therefore, from Equation (3.12), the overall correction factor is given by,<br />

COI<br />

g<br />

= n<br />

∑<br />

ε . n<br />

g<br />

ε<br />

g,<br />

i<br />

COI<br />

i=<br />

1 g,<br />

i<br />

(3.14)<br />

For an <strong>in</strong>f<strong>in</strong>itesimally small subsource volume, the summation <strong>in</strong> equation (3.14) can<br />

be replaced by volume <strong>in</strong>tegration<br />

COI<br />

g<br />

=<br />

∫∫∫<br />

V<br />

ε<br />

COI<br />

ε<br />

g<br />

g,(<br />

xyz)<br />

g,(<br />

xyz)<br />

dxdydz<br />

(3.15)<br />

where<br />

∫∫∫<br />

ε = ε dxdydz<br />

(3.16)<br />

g<br />

V<br />

g,(<br />

xyz)<br />

For each subsource of the volum<strong>in</strong>ous source, the peak efficiency ε g,i is calculated<br />

us<strong>in</strong>g Canberra LabSOCS methodology. This method implies mathematical<br />

techniques for the full energy peak efficiency computation of a Germanium detector<br />

for any source geometry. LabSOCS calibration software is an option of the<br />

application software packages available for Gene 2000 spectroscopy platform. Genie<br />

2000 program is efficiency-curved based, used <strong>in</strong> the Landesmessstelle für<br />

Radioaktivität Bremen for environmental and low-level γ-ray spectrometry.<br />

3.5 Overview of Genie 2000 <strong>Gamma</strong> Analysis Software<br />

Genie 2000 possess a set of capabilities for spectral analysis and acquisition from<br />

Multichannel Analyzers (MCAs). It performs MCA control, spectral display and<br />

manipulation, basic spectrum analysis and report<strong>in</strong>g. Moreover it has options for<br />

41

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